Legendrian Knot Atlas

Here are the Legendrian knots representing knot type 10_127 with (tb, r) =(3,0) :

Grid Diagram
(tb, r)
L = -L?
L = μ(L)?
L = -μ(L)?
Ruling invariant
Linearized Contact Homology
Transverse Invariant
(3,0)
✓
✗?
✗?
5 + 7*z^2 + 2*z^4
[t^-1 + 6 + 2*t, 4 + t]
[[1, 1, 1, 1], -]
(3,0)
✗?
✗?
✗?
5 + 7*z^2 + 2*z^4
[t^-1 + 6 + 2*t, 4 + t]
[[1, 1, 1, 1], 1]